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Sep 22, 2013
09/13

by
John P. Ralston; Pankaj Jain; Borge Nodland

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We discuss a new mechanism which could cause a rotation of polarization of electromagnetic waves due to magnetic fields on cosmological scales. The effect is due to the geometrical phase of Pancharatnam and Berry, and causes a corkscrew twisting of the plane of polarization. The new effect represents an additional tool that allows possible intergalactic and cosmological magnetic fields to be studied using radio propagation.

Source: http://arxiv.org/abs/astro-ph/9707326v2

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Jun 27, 2018
06/18

by
Jonas Azzam

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In a recent paper, Cs\"ornyei and Wilson prove that curves in Euclidean space of $\sigma$-finite length have tangents on a set of positive $\mathscr{H}^{1}$-measure. They also show that a higher dimensional analogue of this result is not possible without some additional assumptions. In this note, we show that if $\Sigma\subseteq \mathbb{R}^{d+1}$ has the property that each ball centered on $\Sigma$ contains two large balls in different components of $\Sigma^{c}$ and $\Sigma$ has...

Topics: Metric Geometry, Analysis of PDEs, Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1505.03960

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Oct 25, 2014
10/14

by
Alurkar, Anand; Karanam, Lakshmi Sudha P; Oak, Sagar P

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This article is from Journal of Medical Case Reports , volume 6 . Abstract Introduction: We present a rare finding of a ‘corkscrew appearance’ of the distal cerebral vessels in a young Asian woman who presented with acute stroke. Case presentation: A 32-year-old Asian woman presented with a 3-month history of recurrent right-sided transient ischemic attacks. Her clinical workup and brain imaging results were normal. A digital subtraction angiogram revealed an abnormal corkscrew appearance...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3514127

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Jul 20, 2013
07/13

by
Farshid Mohammad-Rafiee; Igor M. Kulic; H. Schiessel

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Histone octamers show a heat-induced mobility along DNA. Recent theoretical studies have established two mechanisms that are qualitatively and quantitatively compatible with in vitro experiments on nucleosome sliding: Octamer repositiong through one-basepair twist defects and through ten-basepair bulge defects. A recent experiment demonstrated that the repositioning is strongly suppressed in the presence of minor-groove binding DNA ligands. In the present study we give a quantitative theory for...

Source: http://arxiv.org/abs/q-bio/0406037v1

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Jun 30, 2018
06/18

by
Jonas Azzam; Steve Hofmann; José María Martell; Kaj Nyström; Tatiana Toro

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We show that if $\Omega \subset \mathbb{R}^{n+1}$, $n\geq 1$, is a uniform domain (aka 1-sided NTA domain), i.e., a domain which enjoys interior Corkscrew and Harnack Chain conditions, then uniform rectifiability of the boundary of $\Omega$ implies the existence of exterior Corkscrew points at all scales, so that in fact, $\Omega$ is a chord-arc domain, i.e., a domain with an Ahlfors-David regular boundary which satisfies both interior and exterior Corkscrew conditions, and an interior Harnack...

Topics: Mathematics, Analysis of PDEs, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1406.2743

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Sep 22, 2013
09/13

by
Borge Nodland; John P. Ralston

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We present evidence for a new phenomenon in the propagation of electromagnetic radiation across the Universe, a corkscrew rotation of the plane of polarization not accounted for by conventional physics.

Source: http://arxiv.org/abs/astro-ph/9704197v1

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Jun 28, 2018
06/18

by
Murat Akman; Matthew Badger; Steve Hofmann; José María Martell

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Let $\Omega \subset \mathbb{R}^{n+1}$, $n\geq 2$, be 1-sided NTA domain (aka uniform domain), i.e. a domain which satisfies interior Corkscrew and Harnack Chain conditions, and assume that $\partial\Omega$ is $n$-dimensional Ahlfors-David regular. We characterize the rectifiability of $\partial\Omega$ in terms of the absolute continuity of surface measure with respect to harmonic measure. We also show that these are equivalent to the fact that $\partial\Omega$ can be covered...

Topics: Analysis of PDEs, Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1507.02039

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Sep 17, 2013
09/13

by
Matthew Badger

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We show the David-Jerison construction of big pieces of Lipschitz graphs inside a corkscrew domain does not require its surface measure be upper Ahlfors regular. Thus we can study absolute continuity of harmonic measure and surface measure on NTA domains of locally finite perimeter using Lipschitz approximations. A partial analogue of the F. and M. Riesz Theorem for simply connected planar domains is obtained for NTA domains in space. As a consequence every Wolff snowflake has infinite surface...

Source: http://arxiv.org/abs/1003.4547v3

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Sep 23, 2013
09/13

by
Steve Hofmann; José María Martell; Ignacio Uriarte-Tuero

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We present the converse to a higher dimensional, scale-invariant version of a classical theorem of F. and M. Riesz. More precisely, for $n\geq 2$, for an ADR domain $\Omega\subset \re^{n+1}$ which satisfies the Harnack Chain condition plus an interior (but not exterior) Corkscrew condition, we show that absolute continuity of harmonic measure with respect to surface measure on $\partial\Omega$, with scale invariant higher integrability of the Poisson kernel, is sufficient to imply uniformly...

Source: http://arxiv.org/abs/1202.3860v2

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Jun 27, 2018
06/18

by
Simon Bortz; Steve Hofmann

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Let $E\subset \mathbb{R}^{n+1}$, $n\ge 1$, be a uniformly rectifiable set of dimension $n$. We show $E$ that has big pieces of boundaries of a class of domains which satisfy a 2-sided corkscrew condition, and whose connected components are all chord-arc domains (with uniform control of the various constants). As a consequence, we deduce that $E$ has big pieces of sets for which harmonic measure belongs to weak-$A_\infty$

Topics: Mathematics, Classical Analysis and ODEs

Source: http://arxiv.org/abs/1505.01503

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Jun 26, 2018
06/18

by
Sun-Sig Byun; Dian K. Palagachev; Pilsoo Shin

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We deal with general quasilinear divergence-form coercive operators whose prototype is the $m$-Laplacean operator. The nonlinear terms are given by Carath\'eodory functions and satisfy controlled growth structure conditions with data belonging to suitable Morrey spaces. The fairly non-regular boundary of the underlying domain is supposed to satisfy a capacity density condition which allows domains with exterior corkscrew property. We prove global boundedness and Hoelder continuity up to the...

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1501.06192

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Jun 30, 2018
06/18

by
Fritz Gesztesy; Steve Hofmann; Roger Nichols

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We discuss stability of square root domains for uniformly elliptic partial differential operators $L_{a,\Omega,\Gamma} = -\nabla\cdot a \nabla$ in $L^2(\Omega)$, with mixed boundary conditions on $\partial \Omega$, with respect to additive perturbations. We consider open, bounded, and connected sets $\Omega \in \mathbb{R}^n$, $n \in \mathbb{N} \backslash\{1\}$, that satisfy the interior corkscrew condition and prove stability of square root domains of the operator $L_{a,\Omega,\Gamma}$ with...

Topics: Mathematics, Analysis of PDEs

Source: http://arxiv.org/abs/1411.4789

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Sep 22, 2013
09/13

by
A. Yu. Okulov

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The interaction of the two counter-propagating ultrashort laser pulses with a singular wavefronts in the thin slice of the underdense plasma is considered. It is shown that ion-acoustic wave is excited via Brillouin three-wave resonance by corkscrew interference pattern of a paraxial singular laser beams. The orbital angular momentum carried by light is transferred to plasma ion-acoustic vortex. The rotation of the density perturbations of electron fluid is the cause of helical current which...

Source: http://arxiv.org/abs/0906.0517v8

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Jun 28, 2018
06/18

by
Sonja Babel; Hartmut Löwen; Andreas M. Menzel

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In analogy to nanoscopic molecules that are composed of individual atoms, we consider an active "microswimmer molecule". It is built up from three individual magnetic colloidal microswimmers that are connected by harmonic springs and hydrodynamically interact with each other. In the ground state, they form a linear straight molecule. We analyze the relaxation dynamics for perturbations of this straight configuration. As a central result, with increasing self-propulsion, we observe an...

Topics: Soft Condensed Matter, Biological Physics, Condensed Matter, Physics

Source: http://arxiv.org/abs/1511.03918

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Jun 29, 2018
06/18

by
Steve Hofmann; Phi Le

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We show that for a uniformly elliptic divergence form operator $L$, defined in an open set $\Omega$ with Ahlfors-David regular boundary, BMO-solvability implies scale invariant quantitative absolute continuity (the weak-$A_\infty$ property) of elliptic-harmonic measure with respect to surface measure on $\partial \Omega$. We do not impose any connectivity hypothesis, qualitative or quantitative; in particular, we do not assume the Harnack Chain condition, even within individual connected...

Topics: Analysis of PDEs, Mathematics

Source: http://arxiv.org/abs/1607.00418

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Sep 23, 2013
09/13

by
Steve Hofmann; José María Martell

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We present a higher dimensional, scale-invariant version of a classical theorem of F. and M. Riesz. More precisely, we establish scale invariant absolute continuity of harmonic measure with respect to surface measure, along with higher integrability of the Poisson kernel, for a domain $\Omega\subset \re^{n+1},\, n\geq 2$, with a uniformly rectifiable boundary, which satisfies the Harnack Chain condition plus an interior (but not exterior) corkscrew condition. In a companion paper to this one...

Source: http://arxiv.org/abs/1202.3857v2

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Sep 20, 2013
09/13

by
Steve Hofmann; José María Martell; Svitlana Mayboroda

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Let $E\subset \ree$, $n\ge 2$, be a closed, Ahlfors-David regular set of dimension $n$ satisfying the "Riesz Transform bound" $$\sup_{\eps>0}\int_E|\int_{\{y\in E:|x-y|>\eps\}}\frac{x-y}{|x-y|^{n+1}} f(y) dH^n(y)|^2 dH^n(x) \leq C \int_E|f|^2 dH^n .$$ Assume further that $E$ is the boundary of a domain $\Omega\subset\ree$ satisfying the Harnack Chain condition plus an interior (but not exterior) Corkscrew condition. Then $E$ is uniformly rectifiable.

Source: http://arxiv.org/abs/1207.1527v2

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Jul 20, 2013
07/13

by
P. D. Klaassen; A. Juhasz; G. S. Mathews; J. C. Mottram; I De Gregorio-Monsalvo; E. F. van Dishoeck; S. Takahashi; E. Akiyama; E. Chapillon; D. Espada; A. Hales; M. R. Hogerheijde; M. Rawlings; M. Schmalzl; L. Testi

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Disk winds have been postulated as a mechanism for angular momentum release in protostellar systems for decades. HD 163296 is a Herbig Ae star surrounded by a disk and has been shown to host a series of HH knots (HH 409) with bow shocks associated with the farthest knots. Here we present ALMA Science Verification data of CO J=2-1 and J=3-2 emission which are spatially coincident with the blue shifted jet of HH knots, and offset from the disk by -18.6 km/s. The emission has a double corkscrew...

Source: http://arxiv.org/abs/1304.5436v2

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Sep 18, 2013
09/13

by
V. S. Malinovsky; P. R. Berman

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In a previous paper [Phys. Rev. A 72, 033415 (2005)], it was shown that sub-Doppler cooling occurs in a standing-wave Raman scheme (SWRS) that can lead to reduced period optical lattices. These calculations are extended to allow for non-zero detuning of the Raman transitions. New physical phenomena are encountered, including cooling to non-zero velocities, combinations of Sisyphus and "corkscrew" polarization cooling, and somewhat unusual origins of the friction force. The...

Source: http://arxiv.org/abs/physics/0605052v1

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Sep 18, 2013
09/13

by
E. T. Harlaftis; K. Horne

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We observed the intermediate polar RX J0558+53 with the 4.2m WHT and find in the pulsed emission lines, a ``corkscrew'' pattern, which indicates a two-pole white dwarf accretion. The ``corkscrew'' pattern consists of two emission-line pulses, separated by half the white dwarf spin period, and moving from red to blue velocities. The detected emission-line pulsations have an amplitude of 1.1--2.7 per cent in the He II and Balmer emission lines on the 545-s spin period of the white dwarf which...

Source: http://arxiv.org/abs/astro-ph/9903461v1

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Sep 22, 2013
09/13

by
Hirokazu Fujii; Yuzuru Yoshii

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A new, improved version of a cosmic crystallography method for constraining cosmic topology is introduced. Like the circles-in-the-sky method using CMB data, we work in a thin, shell-like region containing plenty of objects. Two pairs of objects (quadruplet) linked by a holonomy show a specific distribution pattern, and three filters of \emph{separation, vectorial condition}, and \emph{lifetime of objects} extract these quadruplets. Each object $P_i$ is assigned an integer $s_i$, which is the...

Source: http://arxiv.org/abs/1103.1466v3

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Oct 22, 2014
10/14

by
Bernardes, Fred; Martins, Gustavo; Luchi, Gustavo Sabaini; Kac, Bernard Kawa; Nery, Jose Augusto da Costa; Azulay-Abulafia, Luna; Azulay, David Rubem

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This article is from Anais Brasileiros de Dermatologia , volume 89 . Abstract Over the last few centuries, the expansion of urbanization brought bats closer to urbanized areas, increasing the risk of accidents by bat bites. The morphology of bat bites can be varied, usually having an elliptical shape, about 0.5 cm along its greatest length, and the characteristic corkscrew bite pattern. The authors present the case of a patient who was repeatedly bitten by vampire bats for two months. A...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4008072

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Sep 23, 2013
09/13

by
Giuliano Benenti; Stefano Siccardi; Giuliano Strini

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The Bloch vector's path of a two-level system exposed to a monochromatic field exhibits, in the regime of strong coupling, complex corkscrew trajectories. By considering the infinitesimal evolution of the two-level system when the field is treated as a classical object, we show that the Bloch vector's rotation speed oscillates between zero and twice the rotation speed predicted by the rotating wave approximation. Cusps appear when the rotation speed vanishes. We prove analytically that in...

Source: http://arxiv.org/abs/1305.1336v2

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Jun 29, 2018
06/18

by
John Garnett; Mihalis Mourgoglou; Xavier Tolsa

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Let $\Omega\subset\mathbb R^{n+1}$, $n\geq1$, be a corkscrew domain with Ahlfors-David regular boundary. In this paper we prove that $\partial\Omega$ is uniformly $n$-rectifiable if every bounded harmonic function on $\Omega$ is $\varepsilon$-approximable or if every bounded harmonic function on $\Omega$ satisfies a suitable square-function Carleson measure estimate. In particular, this applies to the case when $\Omega=\mathbb R^{n+1}\setminus E$ and $E$ is Ahlfors-David regular. Our results...

Topics: Classical Analysis and ODEs, Analysis of PDEs, Mathematics

Source: http://arxiv.org/abs/1611.00264

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Sep 22, 2013
09/13

by
F. Garcia-Arredondo; Adam Frank

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We present three-dimensional hydrodynamic simulations of the interaction of a slow wind from an asymptotic giant branch(AGB) star and a jet blown by an orbiting companion. The jet or "Collimated Fast Wind" is assumed to originate from an accretion disk which forms via Bondi accretion of the AGB wind or Roche lobe overflow. We present two distinct regimes in the wind-jet interaction determined by the ratio of the AGB wind to jet momentum flux. Our results show that when the wind...

Source: http://arxiv.org/abs/astro-ph/0307454v1

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Sep 23, 2013
09/13

by
Justin Taylor; Seick Kim; Russell Brown

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We consider the elliptic system of linear elasticity with bounded measurable coefficients in a domain where the second Korn inequality holds. We construct heat kernel of the system subject to Dirichlet, Neumann, or mixed boundary condition under the assumption that weak solutions of the elliptic system are H\"older continuous in the interior. Moreover, we show that if weak solutions of the mixed problem are H\"older continuous up to the boundary, then the corresponding heat kernel has...

Source: http://arxiv.org/abs/1303.7280v1

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Sep 20, 2013
09/13

by
J. L. Taylor; S. Kim; R. M. Brown

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We construct the fundamental solution or Green function for a divergence form elliptic system in two dimensions with bounded and measurable coefficients. We consider the elliptic system in a Lipschitz domain with mixed boundary conditions. Thus we specify Dirichlet data on part of the boundary and Neumann data on the remainder of the boundary. We require a corkscrew or non-tangential accessibility condition on the set where we specify Dirichlet boundary conditions. Our proof proceeds by...

Source: http://arxiv.org/abs/1205.1089v1

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Jun 30, 2018
06/18

by
Christopher J. Butler; Yi Tseng; Cheng-Rong Hsing; Yu-Mi Wu; Raman Sankar; Mei-Fang Wang; Ching-Ming Wei; Fang-Cheng Chou; Minn-Tsong Lin

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The Dirac semimetal phase found in Cd$_{3}$As$_{2}$ is protected by a $C_{4}$ rotational symmetry derived from a corkscrew arrangement of systematic Cd vacancies in its complicated crystal structure. It is therefore surprising that no microscopic observation, direct or indirect, of these systematic vacancies has so far been described. To this end, we revisit the cleaved (112) surface of Cd$_{3}$As$_{2}$ using a combined approach of scanning tunneling microscopy and \textit{ab initio}...

Topics: Materials Science, Condensed Matter, Mesoscale and Nanoscale Physics

Source: http://arxiv.org/abs/1703.08909

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Sep 20, 2013
09/13

by
Katherine Blundell; Michael Bowler

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We present the deepest yet radio image of the Galactic jet source, SS433, which reveals over two full precession cycles (> 2 x 163 days) of the jet axis. Systematic and identifiable deviations from the traditional kinematical model for the jets are found: variations in jet speed, lasting for as long as tens of days, are necessary to match the detailed structure of each jet. It is remarkable that these variations are equal and opposite, matching the two jets simultaneously. This explains...

Source: http://arxiv.org/abs/astro-ph/0410456v1

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Jun 29, 2018
06/18

by
Emanuele Sobacchi; Mattia C. Sormani; Antonio Stamerra

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We describe a scenario to explain blazar periodicities with timescales of $\sim$ few years. The scenario is based on a binary super-massive black hole (SMBH) system in which one of the two SMBH carries a jet. We discuss the various mechanisms that can cause the jet to precess and produce corkscrew patterns through space with a scale of $\sim$ few pc. It turns out that the dominant mechanism responsible for the precession is simply the imprint of the jet-carrying SMBH orbital speed on the jet....

Topics: Astrophysics, High Energy Astrophysical Phenomena

Source: http://arxiv.org/abs/1610.04709

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Jun 30, 2018
06/18

by
Jan Staff; Nico Koning; Rachid Ouyed; Adam Thompson; Ralph Pudritz

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We present the results of large scale, three-dimensional magneto-hydrodynamics simulations of disc-winds for different initial magnetic field configurations. The jets are followed from the source to 90 AU scale, which covers several pixels of HST images of nearby protostellar jets. Our simulations show that jets are heated along their length by many shocks. We compute the emission lines that are produced, and find excellent agreement with observations. The jet width is found to be between 20...

Topics: Astrophysics, Solar and Stellar Astrophysics

Source: http://arxiv.org/abs/1411.3440

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Sep 22, 2013
09/13

by
Nobuhiko Watari; Ronald G. Larson

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We propose minimal models of one-, two- and three-dimensional micro-swimmers at low Reynolds number with a periodic non-reciprocal motion. These swimmers are either "pushers" or "pullers" of fluid along the swimming axis, or combination of the two, depending on the history of the swimming motion. We show this with a linear three-bead swimmer by analytically evaluating the migration speed and the strength of the dipolar flow induced by its swimming motion. It is found that...

Source: http://arxiv.org/abs/1004.5336v1

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Jun 30, 2018
06/18

by
M. Johnston-Hollitt; S. Dehghan; L. Pratley

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Bent-tailed (BT) radio sources have long been known to trace over densities in the Universe up to z ~ 1 and there is increasing evidence this association persists out to redshifts of 2. The morphology of the jets in BT galaxies is primarily a function of the environment that they have resided in and so BTs provide invaluable clues as to their local conditions. Thus, not only can samples of BT galaxies be used as signposts of large-scale structure, but are also valuable for obtaining a...

Topics: Astrophysics of Galaxies, Astrophysics

Source: http://arxiv.org/abs/1412.8596

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Oct 28, 2014
10/14

by
Thinda, Sumeer; Melson, Mark R; Kuchtey, Rachel W

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This article is from BMC Ophthalmology , volume 12 . Abstract Background: Carotid cavernous fistulas are abnormal communications between the cavernous sinus and the external or internal carotid arteries. Although rare, closure of carotid cavernous fistulas can lead to immediate ocular complications. To our knowledge, our case represents the first report of worsening angle closure glaucoma and choroidal detachments over an extended period of two months subsequent to closure of a carotid...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3412712

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Oct 23, 2014
10/14

by
Tsagkaridis, Konstantinos; Watson, Christine E.; Jax, Steven A.; Buxbaum, Laurel J.

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This article is from Frontiers in Human Neuroscience , volume 8 . Abstract A number of studies have explored the role of associative/event-based (thematic) and categorical (taxonomic) relations in the organization of object representations. Recent evidence suggests that thematic information may be particularly important in determining relationships between manipulable artifacts. However, although sensorimotor information is on many accounts an important component of manipulable artifact...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3957493

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Sep 22, 2013
09/13

by
R. Ouyed; D. A. Clarke; R. E. Pudritz

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We present the extension of previous two-dimensional simulations of the time-dependent evolution of non-relativistic outflows from the surface of Keplerian accretion disks, to three dimensions. The accretion disk itself is taken to provide a set of fixed boundary conditions for the problem. The 3-D results are consistent with the theory of steady, axisymmetric, centrifugally driven disk winds up to the Alfv\'en surface of the outflow. Beyond the Alfv\'en surface however, the jet in 3-D becomes...

Source: http://arxiv.org/abs/astro-ph/0205465v1

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Sep 21, 2013
09/13

by
W. Waniak; G. Borisov; M. Drahus; T. Bonev

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In late 2010 a Jupiter Family comet 103P/Hartley 2 was a subject of an intensive world-wide investigation. On UT October 20.7 the comet approached the Earth within only 0.12 AU, and on UT November 4.6 it was visited by NASA's EPOXI spacecraft. We joined this international effort and organized an observing campaign. The images of the comet were obtained through narrowband filters using the 2-m telescope of the Rozhen National Astronomical Observatory. They were taken during 4 nights around the...

Source: http://arxiv.org/abs/1204.2429v1

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Oct 25, 2014
10/14

by
Leung, Jacqueline M.; Rould, Mark A.; Konradt, Christoph; Hunter, Christopher A.; Ward, Gary E.

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This article is from PLoS ONE , volume 9 . Abstract T. gondii uses substrate-dependent gliding motility to invade cells of its hosts, egress from these cells at the end of its lytic cycle and disseminate through the host organism during infection. The ability of the parasite to move is therefore critical for its virulence. T. gondii engages in three distinct types of gliding motility on coated two-dimensional surfaces: twirling, circular gliding and helical gliding. We show here that motility...

Source: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3906025

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Sep 18, 2013
09/13

by
Romano L. M. Corradi; Bruce Balick; Miguel Santander-García

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M 2-9, the Butterfly nebula, is an outstanding representative of extreme aspherical flows. It presents unique features such as a pair of high-velocity dusty polar blobs and a mirror-symmetric rotating pattern in the inner lobes. Imaging monitoring of the evolution of the nebula in the past decade is presented. We determine the proper motions of the dusty blobs, which infer a new distance estimate of 1.3+-0.2 kpc, a total nebular size of 0.8 pc, a speed of 147 km/s, and a kinematical age of 2500...

Source: http://arxiv.org/abs/1102.5634v1